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Finding the Fourth Proportional to 2,636.14, 3,951.20 and 880.73

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Solution

The fourth proportional to 2,636.14, 3,951.20 and 880.73 is: 1,320.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,636.14 : 3,951.20 = 880.73 : x
  2. Step 2: Convert to fraction form
    2,636.14/3,951.20 = 880.73/x
  3. Step 3: Cross multiply
    2,636.14x = 3,951.20 × 880.73
  4. Step 4: Simplify right side
    2,636.14x = 3,479,922.82
  5. Step 5: Solve for x
    x = 3,479,922.82/2,636.14
  6. Step 6: Final answer
    x = 1,320.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.